Abstract
We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.
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Keywords
nonlinear equations in R; Aitken-Steffensen method.
References
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About this paper
Cite this paper as:
I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 1, pp. 109-114.
Publisher Name
Article on the journal website
Print ISSN
1222-9024
Online ISSN
2457-8126